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Prahar wants to bake homemade apple pies for the school bake sale. The recipe for the filling of a homemade apple pie that serves 8 consists of the following:three-fourths cup of sugarthree-fifths teaspoon of cinnamonone eighth teaspoon of ground nutmegone-fourth teaspoon of saltPrahar would like to serve 20 people. Choose one of the ingredients from the recipe and determine the amount he would need for a serving of this size. Set up the proportion and show all necessary work using fractions or decimals.

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ANSWER and EXPLANATION

We want to choose one of the ingredients from the recipe and determine the amount Prahar would need for a serving of 20 people.

Let us pick sugar.

We are given that three-fourths cup of sugar serves 8 people.

Let the amount of sugar that serves 20 people be x. This implies that:

[tex]\begin{gathered} \frac{3}{4}\text{ cup }=8\text{ people} \\ \\ x\text{ cup }=20\text{ people} \end{gathered}[/tex]

To find x, we have to cross-multiply and simplify:

[tex]\begin{gathered} x*8=\frac{3}{4}*20 \\ \\ x=\frac{\frac{3}{4}*20}{8} \\ \\ x=1\frac{7}{8}\text{ cup} \end{gathered}[/tex]

Hence, Prahar would need 1⁷/₈ cups of sugar for 20 people.

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